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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 12635.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12635.h1 | 12635g1 | \([0, 0, 1, -2215457, -1268381713]\) | \(196145197056/153125\) | \(938819520725778125\) | \([]\) | \(273600\) | \(2.3798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12635.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12635.h do not have complex multiplication.Modular form 12635.2.a.h
sage: E.q_eigenform(10)